342000 has 120 divisors (see below), whose sum is σ = 1257360. Its totient is φ = 86400.

The previous prime is 341993. The next prime is 342037. The reversal of 342000 is 243.

342000 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

342000 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17991 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (10478).

2³⁴²⁰⁰⁰ is an apocalyptic number.

342000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628680).

342000 is an abundant number, since it is smaller than the sum of its proper divisors (915360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342000 is a wasteful number, since it uses less digits than its factorization.

342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 342000 is about 584.8076606885. The cubic root of 342000 is about 69.9319065718.

Adding to 342000 its reverse (243), we get a palindrome (342243).

The spelling of 342000 in words is "three hundred forty-two thousand", and thus it is an iban number.